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Proof step 9 from proof refine-deallocate-gnd (previous step)

remove-refsize0(gstore2) = gstore2, remove-refsize0(istore1) = istore1, elems nx0 ∩ ginval3 = ∅, dom gstore2 ∪ elems nx0 = dom gstore3 ∪ ginval3, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(gstore3 \ ginval3), inv(gstore2), inv(istore2), inv(istore1), ri-inj(fi), ri-inj(fi0), n ∈ gstore3, n ∈ gstore2, istore1 ⊑ istore2, ¬ dups(nx0), ¬ n ∈ nx0, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore3, pstate.index? → pstate.lnum ∈ istore2 ⊦ ⟪fail_or_success#(; ; err); gstore := gstore3; ginval := ginval3; if err = ESUCCESS then gstore := gstore -- n, ginval := ginval ++ n⟫ ⟨index_deallocate_gnd#(n, fi, fi0, gstore2, nx0, maxino0, ginval2, true; ginval3, gstore3; err0)⟩ (ginval3 = ginval ∧ gstore3 = gstore ∧ err = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 10:
remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval3 = ∅, dom gstore2 ∪ elems nx0 = dom gstore3 ∪ ginval3, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(istore1), inv(istore2), inv(gstore2), inv(gstore3 \ ginval3), ri-inj(fi0), ri-inj(fi), n ∈ gstore2, n ∈ gstore3, istore1 ⊑ istore2, pstate.index? → pstate.lnum ∈ istore2, pstate.journal? → nx0 ≠ [] ∧ pstate.lnum = nx0.last ∧ pstate.lnum ∈ gstore3 ⊦ ⟪choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; gstore := gstore3; ginval := ginval3; if err = ESUCCESS then gstore := gstore -- n, ginval := ginval ++ n⟫ ⟨index_deallocate_gnd#(n, fi, fi0, gstore2, nx0, maxino0, ginval2, true; ginval3, gstore3; err0)⟩ (ginval3 = ginval ∧ gstore3 = gstore ∧ err = err0), dups(nx0), n ∈ nx0

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail_or_success#(; ; ERR) {choose ERR0 with ⌊ERR0⌋ ∨ ERR0 = ESUCCESS in ERR := ERR0};